Week 6 Tutorial - CONCORDIA UNIVERSITY DEPARTMENT OF...

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Unformatted text preview: CONCORDIA UNIVERSITY DEPARTMENT OF COMPUTER SCIENCE & SOFTWARE ENGINEERING COMP 232/2 Mathematics for Computer Science FALL 2010 Tutorial Problems (Section DD) : Week 6 6-1. Let I 4 = { 1 , 2 , 3 , 4 } . The 4 4 matrix a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44 is said to satisfy the 4 4 sudoku condition if { a 11 , a 12 , a 13 , a 14 } = { a 11 , a 21 , a 31 , a 41 } = { a 11 , a 12 , a 21 , a 22 } { a 21 , a 22 , a 23 , a 24 } = { a 12 , a 22 , a 32 , a 42 } = { a 13 , a 14 , a 23 , a 24 } { a 31 , a 32 , a 33 , a 34 } = { a 13 , a 23 , a 33 , a 43 } = { a 31 , a 32 , a 41 , a 42 } { a 41 , a 42 , a 43 , a 44 } = { a 14 , a 24 , a 34 , a 44 } = { a 33 , a 34 , a 43 , a 44 } = I 4 , i.e. , if R 1 R 2 R 3 R 4 C 1 C 2 C 3 C 4 Q 1 Q 2 Q 3 Q 4 with R 1 { a 11 , a 12 , a 13 , a 14 } = I 4 , C 1 { a 11 , a 21 , a 31 , a 41 } = I 4 , R 2 { a 21 , a 22 , a 23 , a 24 } = I 4 , C 2 { a 12 , a 22...
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Week 6 Tutorial - CONCORDIA UNIVERSITY DEPARTMENT OF...

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